In order to explore the effect of atmospheric turbulence on deep-space laser communication, the Gamma-Gamma distributed atmospheric channel model and means to suppress atmospheric turbulence are theoretically discussed. A deep space laser system model based on array transceiver is introduced, and the system's bit error rate under different turbulence conditions is simulated. The results show that when the signal-to-noise ratio is 20 dB, the downlink communication bit error rate under weak turbulence is 4 orders of magnitude lower than that under strong turbulence. When the intensity of atmospheric turbulence increases, the bit error rate of the system increases. At the same turbulence intensity, the influence of atmospheric turbulence on uplink communication performance is greater than that on downlink.